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Simplifying 34 + -7v = 6 + 7(-4 + -3v) 34 + -7v = 6 + (-4 * 7 + -3v * 7) 34 + -7v = 6 + (-28 + -21v) Combine like terms: 6 + -28 = -22 34 + -7v = -22 + -21v Solving 34 + -7v = -22 + -21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '21v' to each side of the equation. 34 + -7v + 21v = -22 + -21v + 21v Combine like terms: -7v + 21v = 14v 34 + 14v = -22 + -21v + 21v Combine like terms: -21v + 21v = 0 34 + 14v = -22 + 0 34 + 14v = -22 Add '-34' to each side of the equation. 34 + -34 + 14v = -22 + -34 Combine like terms: 34 + -34 = 0 0 + 14v = -22 + -34 14v = -22 + -34 Combine like terms: -22 + -34 = -56 14v = -56 Divide each side by '14'. v = -4 Simplifying v = -4
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